Generalized Magnetofluid Connections in Relativistic Magnetohydrodynamics

TL;DR

This paper extends the concept of magnetic connections to non-ideal relativistic plasmas by deriving a covariant equation that unifies electromagnetic and fluid fields, revealing conserved generalized magnetofluid connections.

Contribution

It introduces a new covariant connection equation in relativistic magnetohydrodynamics that accounts for non-ideal effects and unifies electromagnetic and fluid dynamics.

Findings

Generalized magnetofluid connections are conserved during dissipationless plasma dynamics.

A unified antisymmetric tensor links electromagnetic and fluid fields.

Extension of magnetic connection concept to broader relativistic plasma regimes.

Abstract

The concept of magnetic connections is extended to non-ideal relativistic magnetohydrodynamical plasmas. Adopting a general set of equations for relativistic magnetohydrodynamics including thermal-inertial, thermal electromotive, Hall and current-inertia effects, we derive a new covariant connection equation showing the existence of generalized magnetofluid connections that are preserved during the dissipationless plasma dynamics. These connections are intimately linked to a general antisymmetric tensor that unifies the electromagnetic and fluid fields, allowing the extension of the magnetic connection notion to a much broader concept.